[inline,caption=reference introducing self similar solutions]The author should point out to reference [5] istead of
[4] where these self-similar solutions have been introduced
first. Moreover, [5] was dealing exactly with the same inviscid
equation (2).
[inline, color=green,nolist]It's good to point out that self similar
solutions have been introduced in [5] for the dyadic model, but in
[4] for the dyadic tree model. Moreover it isn't completely correct
to say that the equation is the same, since the noise is different
and there are many more interactions in the tree model.
Following the same idea of self-similar solutions, introduced
in [1]} and [2]} for the classic
dyadic model and in section 5.1 in [3]} for the tree
dyadic model, we can construct a direct counterexample to uniqueness
of solutions.
In order to do this we need an existence result stronger than the one
proven in [3]}.
